TSTP Solution File: SEU122+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU122+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 16:17:35 EDT 2023
% Result : Theorem 0.19s 0.63s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU122+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 21:05:46 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 % File :CSE---1.6
% 0.19/0.62 % Problem :theBenchmark
% 0.19/0.62 % Transform :cnf
% 0.19/0.62 % Format :tptp:raw
% 0.19/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.62
% 0.19/0.62 % Result :Theorem 0.000000s
% 0.19/0.62 % Output :CNFRefutation 0.000000s
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 % File : SEU122+1 : TPTP v8.1.2. Released v3.3.0.
% 0.19/0.62 % Domain : Set theory
% 0.19/0.62 % Problem : MPTP bushy problem t2_xboole_1
% 0.19/0.62 % Version : [Urb07] axioms : Especial.
% 0.19/0.62 % English :
% 0.19/0.62
% 0.19/0.62 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.19/0.62 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.19/0.62 % Source : [Urb07]
% 0.19/0.62 % Names : bushy-t2_xboole_1 [Urb07]
% 0.19/0.62
% 0.19/0.62 % Status : Theorem
% 0.19/0.62 % Rating : 0.06 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.00 v7.0.0, 0.03 v6.4.0, 0.08 v6.2.0, 0.04 v6.1.0, 0.03 v6.0.0, 0.04 v5.5.0, 0.00 v5.4.0, 0.04 v5.3.0, 0.07 v5.2.0, 0.00 v4.0.0, 0.04 v3.7.0, 0.00 v3.3.0
% 0.19/0.62 % Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% 0.19/0.62 % Number of atoms : 18 ( 2 equ)
% 0.19/0.62 % Maximal formula atoms : 3 ( 1 avg)
% 0.19/0.62 % Number of connectives : 12 ( 5 ~; 0 |; 3 &)
% 0.19/0.62 % ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% 0.19/0.62 % Maximal formula depth : 7 ( 3 avg)
% 0.19/0.62 % Maximal term depth : 1 ( 1 avg)
% 0.19/0.62 % Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% 0.19/0.62 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% 0.19/0.62 % Number of variables : 15 ( 13 !; 2 ?)
% 0.19/0.62 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.62
% 0.19/0.62 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.19/0.62 % library, www.mizar.org
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 fof(antisymmetry_r2_hidden,axiom,
% 0.19/0.62 ! [A,B] :
% 0.19/0.62 ( in(A,B)
% 0.19/0.62 => ~ in(B,A) ) ).
% 0.19/0.62
% 0.19/0.62 fof(d3_tarski,axiom,
% 0.19/0.62 ! [A,B] :
% 0.19/0.62 ( subset(A,B)
% 0.19/0.62 <=> ! [C] :
% 0.19/0.62 ( in(C,A)
% 0.19/0.62 => in(C,B) ) ) ).
% 0.19/0.62
% 0.19/0.62 fof(dt_k1_xboole_0,axiom,
% 0.19/0.62 $true ).
% 0.19/0.62
% 0.19/0.62 fof(fc1_xboole_0,axiom,
% 0.19/0.62 empty(empty_set) ).
% 0.19/0.62
% 0.19/0.62 fof(rc1_xboole_0,axiom,
% 0.19/0.62 ? [A] : empty(A) ).
% 0.19/0.62
% 0.19/0.62 fof(rc2_xboole_0,axiom,
% 0.19/0.62 ? [A] : ~ empty(A) ).
% 0.19/0.62
% 0.19/0.62 fof(reflexivity_r1_tarski,axiom,
% 0.19/0.62 ! [A,B] : subset(A,A) ).
% 0.19/0.62
% 0.19/0.62 fof(t2_xboole_1,conjecture,
% 0.19/0.62 ! [A] : subset(empty_set,A) ).
% 0.19/0.62
% 0.19/0.63 fof(t6_boole,axiom,
% 0.19/0.63 ! [A] :
% 0.19/0.63 ( empty(A)
% 0.19/0.63 => A = empty_set ) ).
% 0.19/0.63
% 0.19/0.63 fof(t7_boole,axiom,
% 0.19/0.63 ! [A,B] :
% 0.19/0.63 ~ ( in(A,B)
% 0.19/0.63 & empty(B) ) ).
% 0.19/0.63
% 0.19/0.63 fof(t8_boole,axiom,
% 0.19/0.63 ! [A,B] :
% 0.19/0.63 ~ ( empty(A)
% 0.19/0.63 & A != B
% 0.19/0.63 & empty(B) ) ).
% 0.19/0.63
% 0.19/0.63 %------------------------------------------------------------------------------
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 % Proof found
% 0.19/0.63 % SZS status Theorem for theBenchmark
% 0.19/0.63 % SZS output start Proof
% 0.19/0.63 %ClaNum:22(EqnAxiom:10)
% 0.19/0.63 %VarNum:31(SingletonVarNum:15)
% 0.19/0.63 %MaxLitNum:3
% 0.19/0.63 %MaxfuncDepth:1
% 0.19/0.63 %SharedTerms:8
% 0.19/0.63 %goalClause: 15
% 0.19/0.63 %singleGoalClaCount:1
% 0.19/0.63 [11]P1(a1)
% 0.19/0.63 [12]P1(a2)
% 0.19/0.63 [14]~P1(a4)
% 0.19/0.63 [15]~P2(a1,a5)
% 0.19/0.63 [13]P2(x131,x131)
% 0.19/0.63 [16]~P1(x161)+E(x161,a1)
% 0.19/0.63 [18]~P1(x181)+~P3(x182,x181)
% 0.19/0.63 [19]~P3(x192,x191)+~P3(x191,x192)
% 0.19/0.63 [20]P2(x201,x202)+P3(f3(x201,x202),x201)
% 0.19/0.63 [22]P2(x221,x222)+~P3(f3(x221,x222),x222)
% 0.19/0.63 [17]~P1(x172)+~P1(x171)+E(x171,x172)
% 0.19/0.63 [21]~P2(x213,x212)+P3(x211,x212)+~P3(x211,x213)
% 0.19/0.63 %EqnAxiom
% 0.19/0.63 [1]E(x11,x11)
% 0.19/0.63 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.63 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.63 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 0.19/0.63 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 0.19/0.63 [6]~P1(x61)+P1(x62)+~E(x61,x62)
% 0.19/0.63 [7]P3(x72,x73)+~E(x71,x72)+~P3(x71,x73)
% 0.19/0.63 [8]P3(x83,x82)+~E(x81,x82)+~P3(x83,x81)
% 0.19/0.63 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93)
% 0.19/0.63 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101)
% 0.19/0.63
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 cnf(24,plain,
% 0.19/0.63 ($false),
% 0.19/0.63 inference(scs_inference,[],[15,11,18,20]),
% 0.19/0.63 ['proof']).
% 0.19/0.63 % SZS output end Proof
% 0.19/0.63 % Total time :0.000000s
%------------------------------------------------------------------------------